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The Cube-A Window to Convex and Disc...

Bollobas, B.

The Cube-A Window to Convex and Discrete Geometry.[electronic resource].

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	516.08
書名/作者:	The Cube-A Window to Convex and Discrete Geometry.
作者:	Zong, Chuanming.
其他作者:	Bollobas, B.
出版者:	Cambridge : : Cambridge University Press,, 2006.
面頁冊數:	186 p.
標題:	Convex geometry.
ISBN:	9780511543173# (electronic bk.)
ISBN:	9780521855358 (print)
內容註:	Cover; Half-Title; Title; Copyright; Contents; Preface; Basic notation; Introduction; Chapter 1 Cross sections; 1.1 Introduction; 1.2 Good’s conjecture; 1.3 Hensley’s conjecture; 1.4 Additional remarks; Chapter 2 Projections; 2.1 Introduction; 2.2 Lower bounds and upper bounds; 2.3 A symmetric formula; 2.4 Combinatorial shapes; Chapter 3 Inscribed simplices; 3.1 Introduction; 3.2 Binary matrices; 3.3 Upper bounds; 3.4 Some particular cases; Chapter 4 Triangulations; 4.1 An example; 4.2 Some special triangulations; 4.3 Smith’s lower bound; 4.4 Lower-dimensional cases; Chapter 5 0/1 polytopes
摘要、提要註:	This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them.
電子資源:	Click here to view book

The Cube-A Window to Convex and Discrete Geometry.[electronic resource].
Zong, Chuanming.

The Cube-A Window to Convex and Discrete Geometry.[electronic resource]. - Cambridge :Cambridge University Press,2006. - 186 p.

Cover; Half-Title; Title; Copyright; Contents; Preface; Basic notation; Introduction; Chapter 1 Cross sections; 1.1 Introduction; 1.2 Good’s conjecture; 1.3 Hensley’s conjecture; 1.4 Additional remarks; Chapter 2 Projections; 2.1 Introduction; 2.2 Lower bounds and upper bounds; 2.3 A symmetric formula; 2.4 Combinatorial shapes; Chapter 3 Inscribed simplices; 3.1 Introduction; 3.2 Binary matrices; 3.3 Upper bounds; 3.4 Some particular cases; Chapter 4 Triangulations; 4.1 An example; 4.2 Some special triangulations; 4.3 Smith’s lower bound; 4.4 Lower-dimensional cases; Chapter 5 0/1 polytopes

This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511543173# (electronic bk.)Subjects--Topical Terms:

567098
Convex geometry.
Index Terms--Genre/Form:

336502
Electronic books.

LC Class. No.: QA639.5 .Z66 2006eb

Dewey Class. No.: 516.08

The Cube-A Window to Convex and Discrete Geometry.[electronic resource].
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245 1 4 $a The Cube-A Window to Convex and Discrete Geometry. $h [electronic resource].
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300 $a 186 p.
505 0 $a Cover; Half-Title; Title; Copyright; Contents; Preface; Basic notation; Introduction; Chapter 1 Cross sections; 1.1 Introduction; 1.2 Good’s conjecture; 1.3 Hensley’s conjecture; 1.4 Additional remarks; Chapter 2 Projections; 2.1 Introduction; 2.2 Lower bounds and upper bounds; 2.3 A symmetric formula; 2.4 Combinatorial shapes; Chapter 3 Inscribed simplices; 3.1 Introduction; 3.2 Binary matrices; 3.3 Upper bounds; 3.4 Some particular cases; Chapter 4 Triangulations; 4.1 An example; 4.2 Some special triangulations; 4.3 Smith’s lower bound; 4.4 Lower-dimensional cases; Chapter 5 0/1 polytopes
505 8 $a 5.1 Introduction5.2 0/1 polytopes and coding theory; 5.3 Classification; 5.4 The number of facets; Chapter 6 Minkowski’s conjecture; 6.1 Minkowski’s conjecture; 6.2 An algebraic version; 6.3 Hajos’ proof; 6.4 Other versions; Chpater 7 Furtwangler’s conjecture; 7.1 Furtwangler’s conjecture; 7.2 A theorem of Furtwangler and Hajos; 7.3 Hajos ’counterexamples; 7.4 Robinson’s characterization; Chapter 8 Keller’s conjecture; 8.1 Keller’s conjec
520 $a This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
650 4 $a Convex geometry. $3 567098
655 7 $a Electronic books. $2 local $3 336502
700 1 $a Bollobas, B. $3 380635
700 1 $a Fulton, W. $3 380636
700 1 $a Katok, A. $3 380637
700 1 $a Kirwan, F. $3 380638
700 1 $a Sarnak, P. $3 380639
700 1 $a Simon, B. $3 380660
710 2 $a Ebooks Corporation. $3 380544
776 1 $z 9780521855358
856 4 0 $z Click here to view book $u http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511543173#

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